Atkin-Lehner |
5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1855a |
Isogeny class |
Conductor |
1855 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440 |
Modular degree for the optimal curve |
Δ |
-236054315 = -1 · 5 · 75 · 532 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 5 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21,747] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] |
Generators of the group modulo torsion |
j |
-1073741824/236054315 |
j-invariant |
L |
1.9565136964853 |
L(r)(E,1)/r! |
Ω |
1.4363048362893 |
Real period |
R |
0.68109277607807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29680j1 118720i1 16695n1 9275b1 |
Quadratic twists by: -4 8 -3 5 |